Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers pp 383-401 | Cite as

# Some Applications of Abstract Algebra to High School Teaching: Task Design and Polynomial Interpolation

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## Abstract

I look at two applications of abstract algebra to high school teaching: the use of the arithmetic of quadratic fields to design problems with rational solutions and the use of Mahler polynomials and Lagrange Interpolation to fit a polynomial function to a set of data.

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